Abstract
In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Schrödinger equation and the coupled nonlinear Schrödinger equation. L2 stability of the schemes are obtained for both of these nonlinear equations. Numerical examples are shown to demonstrate the accuracy and capability of these methods.
Original language | Undefined |
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Article number | 10.1016/j.jcp.2004.11.001 |
Pages (from-to) | 72-97 |
Number of pages | 26 |
Journal | Journal of computational physics |
Volume | 205 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2005 |
Keywords
- Local discontinuous Galerkin method
- Nonlinear Schrödinger equation
- IR-70180
- METIS-226289
- EWI-12203